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Solution

To Find:
    • The point that bisects the line depicted in the figure

Approach & Working Out:
    • The point that bisects the line depicted in the figure = the mid-point of the line = \(\frac{(0 + 2.5)}{2}, \frac{( -1.5 + 3)}{2} = (1.25, 0.75)\)

Hence, the correct answer is Option A
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Bunuel

The point that bisects the line depicted in the figure above is:

A. (1.25 ; 0.75)

B. (1.25 ; 2.25)

C. (1.25 ; 2)

D. (1.25 ; 1.25)

E. (1.5 ; 1.25)


Attachment:
image521.jpg

We use the midpoint formula: ((x_1 + x_2)/2 , (y_1 + y_2)/2). The point that bisects the line is (2.5 + 0)/2, (3 - 1.5)/2 = (1.25, 0.75).

Answer: A
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Bunuel

The point that bisects the line depicted in the figure above is:

A. (1.25 ; 0.75)

B. (1.25 ; 2.25)

C. (1.25 ; 2)

D. (1.25 ; 1.25)

E. (1.5 ; 1.25)


Attachment:
image521.jpg

Official Explanation



The midpoint between any two points is found by averaging the two points' x-coordinates and their y-coordinates. (This can be proved from the Pythagorean Theorem, which also gives us the distance between two points in the coordinate plane.) The average of 2.5 and 0 is 1.25, so that is the x-coordinate of the midpoint. The average of 3 and -1.5 is 0.75. The answer is (A).

Another approach here would be two find the equation of the line in the form y = mx + b. You can determine the slope m from the rise over run between the two points. The y-intercept b is -1.5. Then you could find the point on the line that is halfway along the run, at an x-value of 1.25, and you would find that at that x-value, y = 0.75.

Again, the correct answer is (A).
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Bunuel

The point that bisects the line depicted in the figure above is:

A. (1.25 ; 0.75)

B. (1.25 ; 2.25)

C. (1.25 ; 2)

D. (1.25 ; 1.25)

E. (1.5 ; 1.25)


Attachment:
image521.jpg

Video Explanation



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